Mathematics for Microscopy and Cell Biology

“显微镜和细胞生物学数学”的提案将使研究人员能够对细菌聚集和生长以及上皮细胞迁移进行动手显微镜实验。对这些过程的图像分析将有助于指导未来的数学建模工作，以了解细菌如何在表面附近积累以及上皮细胞如何关闭伤口。成像和图像分析是获得对生物膜介导的细菌感染和伤口愈合如何发生的机理洞察所需的关键步骤。这些都是生物医学和生物工程中的重要问题，可以通过拟议的定量和系统实验更好地解决。研究者还将根据现代细胞生物学中通常使用的不同类型的显微镜开发应用数学课程。该课程将针对物理学家和数学家，并回顾现代显微镜中发生的基本光学和化学激发。研究人员还计划撰写一篇关于现代显微镜的同行评审期刊评论文章，强调其理论方面。

The proposal "Mathematics for microscopy and cell biology," will allow the investigator to perform hands-on microscopy experiments on bacterial aggregation and growth and on epithelial cell migration. Analysis of images of these processes will help guide future mathematical modeling efforts into how bacteria accumulate near surfaces and how epithelial cells close wounds. Imaging and image analysis are critical steps needed for gaining mechanistic insight into how biofilm-mediated bacterial infections and wound healing occur. These are important problems in biomedicine and bioengineering which can be better addressed with the proposed quantitative and systematic experiments.The investigator will also develop an applied mathematics course based on the different types of microscopy typically used in modern cell biology. The course will be intended for physicists and mathematicians and review the fundamental optics and chemical excitation occurring in modern microscopy.The investigator also plans to write a peer-reviewed journal review article on modern microscopy, emphasizing its theoretical aspects.